What is the Least Common Multiple of 70724 and 70734?

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 70724 and 70734 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70724 and 70734, than apply into the LCM equation.

GCF(70724,70734) = 2
LCM(70724,70734) = ( 70724 × 70734) / 2
LCM(70724,70734) = 5002591416 / 2
LCM(70724,70734) = 2501295708

Least Common Multiple (LCM) of 70724 and 70734 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70724 and 70734. First we will calculate the prime factors of 70724 and 70734.

Prime Factorization of 70724

Prime Factorization of 70734

Now multiplying the highest exponent prime factors to calculate the LCM of 70724 and 70734.

LCM(70724,70734) = 2² × 17681¹ × 3¹ × 11789¹
LCM(70724,70734) = 2501295708