GCF and LCM Calculator Logo

What is the Least Common Multiple of 60068 and 60085?

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 (LCM) of 60068 and 60085 is 3609185780.

LCM(60068,60085) = 3609185780

LCM Calculator and
and

Least Common Multiple of 60068 and 60085 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60068 and 60085, than apply into the LCM equation.

GCF(60068,60085) = 1
LCM(60068,60085) = ( 60068 × 60085) / 1
LCM(60068,60085) = 3609185780 / 1
LCM(60068,60085) = 3609185780

Least Common Multiple (LCM) of 60068 and 60085 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60068 and 60085. First we will calculate the prime factors of 60068 and 60085.

Prime Factorization of 60068

Prime factors of 60068 are 2, 15017. Prime factorization of 60068 in exponential form is:

60068 = 22 × 150171

Prime Factorization of 60085

Prime factors of 60085 are 5, 61, 197. Prime factorization of 60085 in exponential form is:

60085 = 51 × 611 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 60068 and 60085.

LCM(60068,60085) = 22 × 150171 × 51 × 611 × 1971
LCM(60068,60085) = 3609185780