What is the Least Common Multiple of 70431 and 70446?

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 70431 and 70446 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70431 and 70446, than apply into the LCM equation.

GCF(70431,70446) = 3
LCM(70431,70446) = ( 70431 × 70446) / 3
LCM(70431,70446) = 4961582226 / 3
LCM(70431,70446) = 1653860742

Least Common Multiple (LCM) of 70431 and 70446 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70431 and 70446. First we will calculate the prime factors of 70431 and 70446.

Prime Factorization of 70431

Prime Factorization of 70446

Now multiplying the highest exponent prime factors to calculate the LCM of 70431 and 70446.

LCM(70431,70446) = 3¹ × 17¹ × 1381¹ × 2¹ × 59¹ × 199¹
LCM(70431,70446) = 1653860742