What is the Least Common Multiple of 60995 and 61006?

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 60995 and 61006 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60995 and 61006, than apply into the LCM equation.

GCF(60995,61006) = 11
LCM(60995,61006) = ( 60995 × 61006) / 11
LCM(60995,61006) = 3721060970 / 11
LCM(60995,61006) = 338278270

Least Common Multiple (LCM) of 60995 and 61006 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60995 and 61006. First we will calculate the prime factors of 60995 and 61006.

Prime Factorization of 60995

Prime Factorization of 61006

Now multiplying the highest exponent prime factors to calculate the LCM of 60995 and 61006.

LCM(60995,61006) = 5¹ × 11¹ × 1109¹ × 2¹ × 47¹ × 59¹
LCM(60995,61006) = 338278270