What is the Least Common Multiple of 87415 and 87435?

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 87415 and 87435 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87415 and 87435, than apply into the LCM equation.

GCF(87415,87435) = 5
LCM(87415,87435) = ( 87415 × 87435) / 5
LCM(87415,87435) = 7643130525 / 5
LCM(87415,87435) = 1528626105

Least Common Multiple (LCM) of 87415 and 87435 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87415 and 87435. First we will calculate the prime factors of 87415 and 87435.

Prime Factorization of 87415

Prime Factorization of 87435

Now multiplying the highest exponent prime factors to calculate the LCM of 87415 and 87435.

LCM(87415,87435) = 5¹ × 17483¹ × 3² × 29¹ × 67¹
LCM(87415,87435) = 1528626105