What is the Least Common Multiple of 53970 and 53985?

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 53970 and 53985 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53970 and 53985, than apply into the LCM equation.

GCF(53970,53985) = 15
LCM(53970,53985) = ( 53970 × 53985) / 15
LCM(53970,53985) = 2913570450 / 15
LCM(53970,53985) = 194238030

Least Common Multiple (LCM) of 53970 and 53985 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53970 and 53985. First we will calculate the prime factors of 53970 and 53985.

Prime Factorization of 53970

Prime Factorization of 53985

Now multiplying the highest exponent prime factors to calculate the LCM of 53970 and 53985.

LCM(53970,53985) = 2¹ × 3¹ × 5¹ × 7¹ × 257¹ × 59¹ × 61¹
LCM(53970,53985) = 194238030