What is the Least Common Multiple of 72610 and 72615?

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 72610 and 72615 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72610 and 72615, than apply into the LCM equation.

GCF(72610,72615) = 5
LCM(72610,72615) = ( 72610 × 72615) / 5
LCM(72610,72615) = 5272575150 / 5
LCM(72610,72615) = 1054515030

Least Common Multiple (LCM) of 72610 and 72615 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72610 and 72615. First we will calculate the prime factors of 72610 and 72615.

Prime Factorization of 72610

Prime Factorization of 72615

Now multiplying the highest exponent prime factors to calculate the LCM of 72610 and 72615.

LCM(72610,72615) = 2¹ × 5¹ × 53¹ × 137¹ × 3¹ × 47¹ × 103¹
LCM(72610,72615) = 1054515030