What is the Least Common Multiple of 39425 and 39435?

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 39425 and 39435 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39425 and 39435, than apply into the LCM equation.

GCF(39425,39435) = 5
LCM(39425,39435) = ( 39425 × 39435) / 5
LCM(39425,39435) = 1554724875 / 5
LCM(39425,39435) = 310944975

Least Common Multiple (LCM) of 39425 and 39435 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39425 and 39435. First we will calculate the prime factors of 39425 and 39435.

Prime Factorization of 39425

Prime Factorization of 39435

Now multiplying the highest exponent prime factors to calculate the LCM of 39425 and 39435.

LCM(39425,39435) = 5² × 19¹ × 83¹ × 3¹ × 11¹ × 239¹
LCM(39425,39435) = 310944975