What is the Least Common Multiple of 70449 and 70461?

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 70449 and 70461 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70449 and 70461, than apply into the LCM equation.

GCF(70449,70461) = 3
LCM(70449,70461) = ( 70449 × 70461) / 3
LCM(70449,70461) = 4963906989 / 3
LCM(70449,70461) = 1654635663

Least Common Multiple (LCM) of 70449 and 70461 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70449 and 70461. First we will calculate the prime factors of 70449 and 70461.

Prime Factorization of 70449

Prime Factorization of 70461

Now multiplying the highest exponent prime factors to calculate the LCM of 70449 and 70461.

LCM(70449,70461) = 3² × 23¹ × 1021¹ × 7829¹
LCM(70449,70461) = 1654635663