What is the Least Common Multiple of 60990 and 60995?

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 60990 and 60995 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60990 and 60995, than apply into the LCM equation.

GCF(60990,60995) = 5
LCM(60990,60995) = ( 60990 × 60995) / 5
LCM(60990,60995) = 3720085050 / 5
LCM(60990,60995) = 744017010

Least Common Multiple (LCM) of 60990 and 60995 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60990 and 60995. First we will calculate the prime factors of 60990 and 60995.

Prime Factorization of 60990

Prime Factorization of 60995

Now multiplying the highest exponent prime factors to calculate the LCM of 60990 and 60995.

LCM(60990,60995) = 2¹ × 3¹ × 5¹ × 19¹ × 107¹ × 11¹ × 1109¹
LCM(60990,60995) = 744017010