What is the Least Common Multiple of 59952 and 59960?

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 59952 and 59960 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59952 and 59960, than apply into the LCM equation.

GCF(59952,59960) = 8
LCM(59952,59960) = ( 59952 × 59960) / 8
LCM(59952,59960) = 3594721920 / 8
LCM(59952,59960) = 449340240

Least Common Multiple (LCM) of 59952 and 59960 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59952 and 59960. First we will calculate the prime factors of 59952 and 59960.

Prime Factorization of 59952

Prime Factorization of 59960

Now multiplying the highest exponent prime factors to calculate the LCM of 59952 and 59960.

LCM(59952,59960) = 2⁴ × 3¹ × 1249¹ × 5¹ × 1499¹
LCM(59952,59960) = 449340240