What is the Least Common Multiple of 90940 and 90945?

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 90940 and 90945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 90940 and 90945, than apply into the LCM equation.

GCF(90940,90945) = 5
LCM(90940,90945) = ( 90940 × 90945) / 5
LCM(90940,90945) = 8270538300 / 5
LCM(90940,90945) = 1654107660

Least Common Multiple (LCM) of 90940 and 90945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 90940 and 90945. First we will calculate the prime factors of 90940 and 90945.

Prime Factorization of 90940

Prime Factorization of 90945

Now multiplying the highest exponent prime factors to calculate the LCM of 90940 and 90945.

LCM(90940,90945) = 2² × 5¹ × 4547¹ × 3² × 43¹ × 47¹
LCM(90940,90945) = 1654107660