What is the Least Common Multiple of 59790 and 59795?

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 59790 and 59795 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59790 and 59795, than apply into the LCM equation.

GCF(59790,59795) = 5
LCM(59790,59795) = ( 59790 × 59795) / 5
LCM(59790,59795) = 3575143050 / 5
LCM(59790,59795) = 715028610

Least Common Multiple (LCM) of 59790 and 59795 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59790 and 59795. First we will calculate the prime factors of 59790 and 59795.

Prime Factorization of 59790

Prime Factorization of 59795

Now multiplying the highest exponent prime factors to calculate the LCM of 59790 and 59795.

LCM(59790,59795) = 2¹ × 3¹ × 5¹ × 1993¹ × 11959¹
LCM(59790,59795) = 715028610