What is the Least Common Multiple of 95940 and 95945?

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 95940 and 95945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95940 and 95945, than apply into the LCM equation.

GCF(95940,95945) = 5
LCM(95940,95945) = ( 95940 × 95945) / 5
LCM(95940,95945) = 9204963300 / 5
LCM(95940,95945) = 1840992660

Least Common Multiple (LCM) of 95940 and 95945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95940 and 95945. First we will calculate the prime factors of 95940 and 95945.

Prime Factorization of 95940

Prime Factorization of 95945

Now multiplying the highest exponent prime factors to calculate the LCM of 95940 and 95945.

LCM(95940,95945) = 2² × 3² × 5¹ × 13¹ × 41¹ × 31¹ × 619¹
LCM(95940,95945) = 1840992660