What is the Least Common Multiple of 52695 and 52713?

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 52695 and 52713 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52695 and 52713, than apply into the LCM equation.

GCF(52695,52713) = 9
LCM(52695,52713) = ( 52695 × 52713) / 9
LCM(52695,52713) = 2777711535 / 9
LCM(52695,52713) = 308634615

Least Common Multiple (LCM) of 52695 and 52713 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52695 and 52713. First we will calculate the prime factors of 52695 and 52713.

Prime Factorization of 52695

Prime Factorization of 52713

Now multiplying the highest exponent prime factors to calculate the LCM of 52695 and 52713.

LCM(52695,52713) = 3² × 5¹ × 1171¹ × 5857¹
LCM(52695,52713) = 308634615