What is the Least Common Multiple of 39695 and 39705?

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 39695 and 39705 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39695 and 39705, than apply into the LCM equation.

GCF(39695,39705) = 5
LCM(39695,39705) = ( 39695 × 39705) / 5
LCM(39695,39705) = 1576089975 / 5
LCM(39695,39705) = 315217995

Least Common Multiple (LCM) of 39695 and 39705 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39695 and 39705. First we will calculate the prime factors of 39695 and 39705.

Prime Factorization of 39695

Prime Factorization of 39705

Now multiplying the highest exponent prime factors to calculate the LCM of 39695 and 39705.

LCM(39695,39705) = 5¹ × 17¹ × 467¹ × 3¹ × 2647¹
LCM(39695,39705) = 315217995