What is the Least Common Multiple of 59958 and 59970?

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 59958 and 59970 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59958 and 59970, than apply into the LCM equation.

GCF(59958,59970) = 6
LCM(59958,59970) = ( 59958 × 59970) / 6
LCM(59958,59970) = 3595681260 / 6
LCM(59958,59970) = 599280210

Least Common Multiple (LCM) of 59958 and 59970 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59958 and 59970. First we will calculate the prime factors of 59958 and 59970.

Prime Factorization of 59958

Prime Factorization of 59970

Now multiplying the highest exponent prime factors to calculate the LCM of 59958 and 59970.

LCM(59958,59970) = 2¹ × 3² × 3331¹ × 5¹ × 1999¹
LCM(59958,59970) = 599280210