What is the Least Common Multiple of 59790 and 59808?

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 59808 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 59808, than apply into the LCM equation.

GCF(59790,59808) = 6
LCM(59790,59808) = ( 59790 × 59808) / 6
LCM(59790,59808) = 3575920320 / 6
LCM(59790,59808) = 595986720

Least Common Multiple (LCM) of 59790 and 59808 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59790 and 59808. First we will calculate the prime factors of 59790 and 59808.

Prime Factorization of 59790

Prime Factorization of 59808

Now multiplying the highest exponent prime factors to calculate the LCM of 59790 and 59808.

LCM(59790,59808) = 2⁵ × 3¹ × 5¹ × 1993¹ × 7¹ × 89¹
LCM(59790,59808) = 595986720