What is the Least Common Multiple of 60067 and 60077?

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 60067 and 60077 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60067 and 60077, than apply into the LCM equation.

GCF(60067,60077) = 1
LCM(60067,60077) = ( 60067 × 60077) / 1
LCM(60067,60077) = 3608645159 / 1
LCM(60067,60077) = 3608645159

Least Common Multiple (LCM) of 60067 and 60077 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60067 and 60077. First we will calculate the prime factors of 60067 and 60077.

Prime Factorization of 60067

Prime Factorization of 60077

Now multiplying the highest exponent prime factors to calculate the LCM of 60067 and 60077.

LCM(60067,60077) = 7¹ × 8581¹ × 60077¹
LCM(60067,60077) = 3608645159