What is the Least Common Multiple of 69468 and 69475?

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 69468 and 69475 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69468 and 69475, than apply into the LCM equation.

GCF(69468,69475) = 7
LCM(69468,69475) = ( 69468 × 69475) / 7
LCM(69468,69475) = 4826289300 / 7
LCM(69468,69475) = 689469900

Least Common Multiple (LCM) of 69468 and 69475 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69468 and 69475. First we will calculate the prime factors of 69468 and 69475.

Prime Factorization of 69468

Prime Factorization of 69475

Now multiplying the highest exponent prime factors to calculate the LCM of 69468 and 69475.

LCM(69468,69475) = 2² × 3¹ × 7¹ × 827¹ × 5² × 397¹
LCM(69468,69475) = 689469900