What is the Least Common Multiple of 88419 and 88437?

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 88419 and 88437 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88419 and 88437, than apply into the LCM equation.

GCF(88419,88437) = 3
LCM(88419,88437) = ( 88419 × 88437) / 3
LCM(88419,88437) = 7819511103 / 3
LCM(88419,88437) = 2606503701

Least Common Multiple (LCM) of 88419 and 88437 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88419 and 88437. First we will calculate the prime factors of 88419 and 88437.

Prime Factorization of 88419

Prime Factorization of 88437

Now multiplying the highest exponent prime factors to calculate the LCM of 88419 and 88437.

LCM(88419,88437) = 3¹ × 29473¹ × 41¹ × 719¹
LCM(88419,88437) = 2606503701