What is the Least Common Multiple of 32415 and 32435?

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 32415 and 32435 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32415 and 32435, than apply into the LCM equation.

GCF(32415,32435) = 5
LCM(32415,32435) = ( 32415 × 32435) / 5
LCM(32415,32435) = 1051380525 / 5
LCM(32415,32435) = 210276105

Least Common Multiple (LCM) of 32415 and 32435 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32415 and 32435. First we will calculate the prime factors of 32415 and 32435.

Prime Factorization of 32415

Prime Factorization of 32435

Now multiplying the highest exponent prime factors to calculate the LCM of 32415 and 32435.

LCM(32415,32435) = 3¹ × 5¹ × 2161¹ × 13¹ × 499¹
LCM(32415,32435) = 210276105