What is the Least Common Multiple of 60046 and 60060?

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 60046 and 60060 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60046 and 60060, than apply into the LCM equation.

GCF(60046,60060) = 14
LCM(60046,60060) = ( 60046 × 60060) / 14
LCM(60046,60060) = 3606362760 / 14
LCM(60046,60060) = 257597340

Least Common Multiple (LCM) of 60046 and 60060 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60046 and 60060. First we will calculate the prime factors of 60046 and 60060.

Prime Factorization of 60046

Prime Factorization of 60060

Now multiplying the highest exponent prime factors to calculate the LCM of 60046 and 60060.

LCM(60046,60060) = 2² × 7¹ × 4289¹ × 3¹ × 5¹ × 11¹ × 13¹
LCM(60046,60060) = 257597340