What is the Least Common Multiple of 59920 and 59924?

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 59924 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 59924, than apply into the LCM equation.

GCF(59920,59924) = 4
LCM(59920,59924) = ( 59920 × 59924) / 4
LCM(59920,59924) = 3590646080 / 4
LCM(59920,59924) = 897661520

Least Common Multiple (LCM) of 59920 and 59924 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59920 and 59924. First we will calculate the prime factors of 59920 and 59924.

Prime Factorization of 59920

Prime Factorization of 59924

Now multiplying the highest exponent prime factors to calculate the LCM of 59920 and 59924.

LCM(59920,59924) = 2⁴ × 5¹ × 7¹ × 107¹ × 71¹ × 211¹
LCM(59920,59924) = 897661520