What is the Least Common Multiple of 59980 and 59994?

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 59980 and 59994 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59980 and 59994, than apply into the LCM equation.

GCF(59980,59994) = 2
LCM(59980,59994) = ( 59980 × 59994) / 2
LCM(59980,59994) = 3598440120 / 2
LCM(59980,59994) = 1799220060

Least Common Multiple (LCM) of 59980 and 59994 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59980 and 59994. First we will calculate the prime factors of 59980 and 59994.

Prime Factorization of 59980

Prime Factorization of 59994

Now multiplying the highest exponent prime factors to calculate the LCM of 59980 and 59994.

LCM(59980,59994) = 2² × 5¹ × 2999¹ × 3³ × 11¹ × 101¹
LCM(59980,59994) = 1799220060