What is the Least Common Multiple of 59970 and 59976?

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 59970 and 59976 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59970 and 59976, than apply into the LCM equation.

GCF(59970,59976) = 6
LCM(59970,59976) = ( 59970 × 59976) / 6
LCM(59970,59976) = 3596760720 / 6
LCM(59970,59976) = 599460120

Least Common Multiple (LCM) of 59970 and 59976 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59970 and 59976. First we will calculate the prime factors of 59970 and 59976.

Prime Factorization of 59970

Prime Factorization of 59976

Now multiplying the highest exponent prime factors to calculate the LCM of 59970 and 59976.

LCM(59970,59976) = 2³ × 3² × 5¹ × 1999¹ × 7² × 17¹
LCM(59970,59976) = 599460120