What is the Least Common Multiple of 59520 and 59538?

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 59520 and 59538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59520 and 59538, than apply into the LCM equation.

GCF(59520,59538) = 6
LCM(59520,59538) = ( 59520 × 59538) / 6
LCM(59520,59538) = 3543701760 / 6
LCM(59520,59538) = 590616960

Least Common Multiple (LCM) of 59520 and 59538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59520 and 59538. First we will calculate the prime factors of 59520 and 59538.

Prime Factorization of 59520

Prime Factorization of 59538

Now multiplying the highest exponent prime factors to calculate the LCM of 59520 and 59538.

LCM(59520,59538) = 2⁷ × 3¹ × 5¹ × 31¹ × 9923¹
LCM(59520,59538) = 590616960