What is the Least Common Multiple of 60012 and 60026?

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 60012 and 60026 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60012 and 60026, than apply into the LCM equation.

GCF(60012,60026) = 2
LCM(60012,60026) = ( 60012 × 60026) / 2
LCM(60012,60026) = 3602280312 / 2
LCM(60012,60026) = 1801140156

Least Common Multiple (LCM) of 60012 and 60026 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60012 and 60026. First we will calculate the prime factors of 60012 and 60026.

Prime Factorization of 60012

Prime Factorization of 60026

Now multiplying the highest exponent prime factors to calculate the LCM of 60012 and 60026.

LCM(60012,60026) = 2² × 3² × 1667¹ × 30013¹
LCM(60012,60026) = 1801140156