What is the Least Common Multiple of 72054 and 72070?

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 72054 and 72070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72054 and 72070, than apply into the LCM equation.

GCF(72054,72070) = 2
LCM(72054,72070) = ( 72054 × 72070) / 2
LCM(72054,72070) = 5192931780 / 2
LCM(72054,72070) = 2596465890

Least Common Multiple (LCM) of 72054 and 72070 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72054 and 72070. First we will calculate the prime factors of 72054 and 72070.

Prime Factorization of 72054

Prime Factorization of 72070

Now multiplying the highest exponent prime factors to calculate the LCM of 72054 and 72070.

LCM(72054,72070) = 2¹ × 3² × 4003¹ × 5¹ × 7207¹
LCM(72054,72070) = 2596465890