What is the Least Common Multiple of 51620 and 51635?

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 of 51620 and 51635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51620 and 51635, than apply into the LCM equation.

GCF(51620,51635) = 5
LCM(51620,51635) = ( 51620 × 51635) / 5
LCM(51620,51635) = 2665398700 / 5
LCM(51620,51635) = 533079740

Least Common Multiple (LCM) of 51620 and 51635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51620 and 51635. First we will calculate the prime factors of 51620 and 51635.

Prime Factorization of 51620

Prime Factorization of 51635

Now multiplying the highest exponent prime factors to calculate the LCM of 51620 and 51635.

LCM(51620,51635) = 2² × 5¹ × 29¹ × 89¹ × 23¹ × 449¹
LCM(51620,51635) = 533079740