What is the Least Common Multiple of 79473 and 79489?

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 79473 and 79489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79473 and 79489, than apply into the LCM equation.

GCF(79473,79489) = 1
LCM(79473,79489) = ( 79473 × 79489) / 1
LCM(79473,79489) = 6317229297 / 1
LCM(79473,79489) = 6317229297

Least Common Multiple (LCM) of 79473 and 79489 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79473 and 79489. First we will calculate the prime factors of 79473 and 79489.

Prime Factorization of 79473

Prime Factorization of 79489

Now multiplying the highest exponent prime factors to calculate the LCM of 79473 and 79489.

LCM(79473,79489) = 3¹ × 59¹ × 449¹ × 29¹ × 2741¹
LCM(79473,79489) = 6317229297