What is the Least Common Multiple of 60667 and 60677?

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 60667 and 60677 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60667 and 60677, than apply into the LCM equation.

GCF(60667,60677) = 1
LCM(60667,60677) = ( 60667 × 60677) / 1
LCM(60667,60677) = 3681091559 / 1
LCM(60667,60677) = 3681091559

Least Common Multiple (LCM) of 60667 and 60677 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60667 and 60677. First we will calculate the prime factors of 60667 and 60677.

Prime Factorization of 60667

Prime Factorization of 60677

Now multiplying the highest exponent prime factors to calculate the LCM of 60667 and 60677.

LCM(60667,60677) = 19¹ × 31¹ × 103¹ × 47¹ × 1291¹
LCM(60667,60677) = 3681091559