What is the Least Common Multiple of 624 and 634?
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 634 is 197808.
LCM(624,634) = 197808
Least Common Multiple of 624 and 634 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 634, than apply into the LCM equation.
GCF(624,634) = 2
LCM(624,634) = ( 624 × 634) / 2
LCM(624,634) = 395616 / 2
LCM(624,634) = 197808
Least Common Multiple (LCM) of 624 and 634 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 624 and 634. First we will calculate the prime factors of 624 and 634.
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 634
Prime factors of 634 are 2, 317. Prime factorization of 634 in exponential form is:
634 = 21 × 3171
Now multiplying the highest exponent prime factors to calculate the LCM of 624 and 634.
LCM(624,634) = 24 × 31 × 131 × 3171
LCM(624,634) = 197808
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- LCM of 624 and 634
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Related Least Common Multiples of 634
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