What is the Least Common Multiple of 69724 and 69737?

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 69724 and 69737 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69724 and 69737, than apply into the LCM equation.

GCF(69724,69737) = 1
LCM(69724,69737) = ( 69724 × 69737) / 1
LCM(69724,69737) = 4862342588 / 1
LCM(69724,69737) = 4862342588

Least Common Multiple (LCM) of 69724 and 69737 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69724 and 69737. First we will calculate the prime factors of 69724 and 69737.

Prime Factorization of 69724

Prime Factorization of 69737

Now multiplying the highest exponent prime factors to calculate the LCM of 69724 and 69737.

LCM(69724,69737) = 2² × 17431¹ × 69737¹
LCM(69724,69737) = 4862342588