What is the Least Common Multiple of 90980 and 90993?

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 90980 and 90993 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90980 and 90993, than apply into the LCM equation.

GCF(90980,90993) = 1
LCM(90980,90993) = ( 90980 × 90993) / 1
LCM(90980,90993) = 8278543140 / 1
LCM(90980,90993) = 8278543140

Least Common Multiple (LCM) of 90980 and 90993 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90980 and 90993. First we will calculate the prime factors of 90980 and 90993.

Prime Factorization of 90980

Prime Factorization of 90993

Now multiplying the highest exponent prime factors to calculate the LCM of 90980 and 90993.

LCM(90980,90993) = 2² × 5¹ × 4549¹ × 3¹ × 7² × 619¹
LCM(90980,90993) = 8278543140