What is the Least Common Multiple of 624 and 635?
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 635 is 396240.
LCM(624,635) = 396240
Least Common Multiple of 624 and 635 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 635, than apply into the LCM equation.
GCF(624,635) = 1
LCM(624,635) = ( 624 × 635) / 1
LCM(624,635) = 396240 / 1
LCM(624,635) = 396240
Least Common Multiple (LCM) of 624 and 635 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 624 and 635. First we will calculate the prime factors of 624 and 635.
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 635
Prime factors of 635 are 5, 127. Prime factorization of 635 in exponential form is:
635 = 51 × 1271
Now multiplying the highest exponent prime factors to calculate the LCM of 624 and 635.
LCM(624,635) = 24 × 31 × 131 × 51 × 1271
LCM(624,635) = 396240
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