What is the Least Common Multiple of 59920 and 59934?

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 59920 and 59934 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59920 and 59934, than apply into the LCM equation.

GCF(59920,59934) = 14
LCM(59920,59934) = ( 59920 × 59934) / 14
LCM(59920,59934) = 3591245280 / 14
LCM(59920,59934) = 256517520

Least Common Multiple (LCM) of 59920 and 59934 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59920 and 59934. First we will calculate the prime factors of 59920 and 59934.

Prime Factorization of 59920

Prime Factorization of 59934

Now multiplying the highest exponent prime factors to calculate the LCM of 59920 and 59934.

LCM(59920,59934) = 2⁴ × 5¹ × 7¹ × 107¹ × 3¹ × 1427¹
LCM(59920,59934) = 256517520