What is the Least Common Multiple of 72426 and 72446?

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 72426 and 72446 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72426 and 72446, than apply into the LCM equation.

GCF(72426,72446) = 2
LCM(72426,72446) = ( 72426 × 72446) / 2
LCM(72426,72446) = 5246973996 / 2
LCM(72426,72446) = 2623486998

Least Common Multiple (LCM) of 72426 and 72446 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72426 and 72446. First we will calculate the prime factors of 72426 and 72446.

Prime Factorization of 72426

Prime Factorization of 72446

Now multiplying the highest exponent prime factors to calculate the LCM of 72426 and 72446.

LCM(72426,72446) = 2¹ × 3¹ × 12071¹ × 11¹ × 37¹ × 89¹
LCM(72426,72446) = 2623486998