What is the Least Common Multiple of 621 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 621 and 634 is 393714.
LCM(621,634) = 393714
Least Common Multiple of 621 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 621 and 634, than apply into the LCM equation.
GCF(621,634) = 1
LCM(621,634) = ( 621 × 634) / 1
LCM(621,634) = 393714 / 1
LCM(621,634) = 393714
Least Common Multiple (LCM) of 621 and 634 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 621 and 634. First we will calculate the prime factors of 621 and 634.
Prime Factorization of 621
Prime factors of 621 are 3, 23. Prime factorization of 621 in exponential form is:
621 = 33 × 231
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 621 and 634.
LCM(621,634) = 33 × 231 × 21 × 3171
LCM(621,634) = 393714
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