What is the Least Common Multiple of 60990 and 61009?

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 61009 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 61009, than apply into the LCM equation.

GCF(60990,61009) = 19
LCM(60990,61009) = ( 60990 × 61009) / 19
LCM(60990,61009) = 3720938910 / 19
LCM(60990,61009) = 195838890

Least Common Multiple (LCM) of 60990 and 61009 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60990 and 61009. First we will calculate the prime factors of 60990 and 61009.

Prime Factorization of 60990

Prime Factorization of 61009

Now multiplying the highest exponent prime factors to calculate the LCM of 60990 and 61009.

LCM(60990,61009) = 2¹ × 3¹ × 5¹ × 19² × 107¹ × 13²
LCM(60990,61009) = 195838890