What is the Least Common Multiple of 624 and 632?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 624 and 632 is 49296.
LCM(624,632) = 49296
Least Common Multiple of 624 and 632 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 624 and 632, than apply into the LCM equation.
GCF(624,632) = 8
LCM(624,632) = ( 624 × 632) / 8
LCM(624,632) = 394368 / 8
LCM(624,632) = 49296
Least Common Multiple (LCM) of 624 and 632 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 624 and 632. First we will calculate the prime factors of 624 and 632.
Prime Factorization of 624
Prime factors of 624 are 2, 3, 13. Prime factorization of 624 in exponential form is:
624 = 24 × 31 × 131
Prime Factorization of 632
Prime factors of 632 are 2, 79. Prime factorization of 632 in exponential form is:
632 = 23 × 791
Now multiplying the highest exponent prime factors to calculate the LCM of 624 and 632.
LCM(624,632) = 24 × 31 × 131 × 791
LCM(624,632) = 49296
Related Least Common Multiples of 624
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- LCM of 624 and 632
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Related Least Common Multiples of 632
- LCM of 632 and 636
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- LCM of 632 and 639
- LCM of 632 and 640
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