What is the Least Common Multiple of 72150 and 72158?

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 72150 and 72158 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72150 and 72158, than apply into the LCM equation.

GCF(72150,72158) = 2
LCM(72150,72158) = ( 72150 × 72158) / 2
LCM(72150,72158) = 5206199700 / 2
LCM(72150,72158) = 2603099850

Least Common Multiple (LCM) of 72150 and 72158 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72150 and 72158. First we will calculate the prime factors of 72150 and 72158.

Prime Factorization of 72150

Prime Factorization of 72158

Now multiplying the highest exponent prime factors to calculate the LCM of 72150 and 72158.

LCM(72150,72158) = 2¹ × 3¹ × 5² × 13¹ × 37¹ × 109¹ × 331¹
LCM(72150,72158) = 2603099850