What is the Least Common Multiple of 70920 and 70938?

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 70920 and 70938 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70920 and 70938, than apply into the LCM equation.

GCF(70920,70938) = 18
LCM(70920,70938) = ( 70920 × 70938) / 18
LCM(70920,70938) = 5030922960 / 18
LCM(70920,70938) = 279495720

Least Common Multiple (LCM) of 70920 and 70938 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70920 and 70938. First we will calculate the prime factors of 70920 and 70938.

Prime Factorization of 70920

Prime Factorization of 70938

Now multiplying the highest exponent prime factors to calculate the LCM of 70920 and 70938.

LCM(70920,70938) = 2³ × 3² × 5¹ × 197¹ × 7¹ × 563¹
LCM(70920,70938) = 279495720