What is the Least Common Multiple of 628 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 628 and 635 is 398780.
LCM(628,635) = 398780
Least Common Multiple of 628 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 628 and 635, than apply into the LCM equation.
GCF(628,635) = 1
LCM(628,635) = ( 628 × 635) / 1
LCM(628,635) = 398780 / 1
LCM(628,635) = 398780
Least Common Multiple (LCM) of 628 and 635 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 628 and 635. First we will calculate the prime factors of 628 and 635.
Prime Factorization of 628
Prime factors of 628 are 2, 157. Prime factorization of 628 in exponential form is:
628 = 22 × 1571
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 628 and 635.
LCM(628,635) = 22 × 1571 × 51 × 1271
LCM(628,635) = 398780
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Related Least Common Multiples of 635
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