What is the Least Common Multiple of 70938 and 70956?

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 70938 and 70956 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70938 and 70956, than apply into the LCM equation.

GCF(70938,70956) = 18
LCM(70938,70956) = ( 70938 × 70956) / 18
LCM(70938,70956) = 5033476728 / 18
LCM(70938,70956) = 279637596

Least Common Multiple (LCM) of 70938 and 70956 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70938 and 70956. First we will calculate the prime factors of 70938 and 70956.

Prime Factorization of 70938

Prime Factorization of 70956

Now multiplying the highest exponent prime factors to calculate the LCM of 70938 and 70956.

LCM(70938,70956) = 2² × 3⁵ × 7¹ × 563¹ × 73¹
LCM(70938,70956) = 279637596