What is the Least Common Multiple of 59520 and 59539?

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 59539 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 59539, than apply into the LCM equation.

GCF(59520,59539) = 1
LCM(59520,59539) = ( 59520 × 59539) / 1
LCM(59520,59539) = 3543761280 / 1
LCM(59520,59539) = 3543761280

Least Common Multiple (LCM) of 59520 and 59539 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59520 and 59539. First we will calculate the prime factors of 59520 and 59539.

Prime Factorization of 59520

Prime Factorization of 59539

Now multiplying the highest exponent prime factors to calculate the LCM of 59520 and 59539.

LCM(59520,59539) = 2⁷ × 3¹ × 5¹ × 31¹ × 59539¹
LCM(59520,59539) = 3543761280