What is the Least Common Multiple of 87940 and 87945?

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 87940 and 87945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87940 and 87945, than apply into the LCM equation.

GCF(87940,87945) = 5
LCM(87940,87945) = ( 87940 × 87945) / 5
LCM(87940,87945) = 7733883300 / 5
LCM(87940,87945) = 1546776660

Least Common Multiple (LCM) of 87940 and 87945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87940 and 87945. First we will calculate the prime factors of 87940 and 87945.

Prime Factorization of 87940

Prime Factorization of 87945

Now multiplying the highest exponent prime factors to calculate the LCM of 87940 and 87945.

LCM(87940,87945) = 2² × 5¹ × 4397¹ × 3¹ × 11¹ × 13¹ × 41¹
LCM(87940,87945) = 1546776660