What is the Least Common Multiple of 72615 and 72635?

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 72615 and 72635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72615 and 72635, than apply into the LCM equation.

GCF(72615,72635) = 5
LCM(72615,72635) = ( 72615 × 72635) / 5
LCM(72615,72635) = 5274390525 / 5
LCM(72615,72635) = 1054878105

Least Common Multiple (LCM) of 72615 and 72635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72615 and 72635. First we will calculate the prime factors of 72615 and 72635.

Prime Factorization of 72615

Prime Factorization of 72635

Now multiplying the highest exponent prime factors to calculate the LCM of 72615 and 72635.

LCM(72615,72635) = 3¹ × 5¹ × 47¹ × 103¹ × 73¹ × 199¹
LCM(72615,72635) = 1054878105