What is the Least Common Multiple of 70446 and 70450?

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 70446 and 70450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70446 and 70450, than apply into the LCM equation.

GCF(70446,70450) = 2
LCM(70446,70450) = ( 70446 × 70450) / 2
LCM(70446,70450) = 4962920700 / 2
LCM(70446,70450) = 2481460350

Least Common Multiple (LCM) of 70446 and 70450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70446 and 70450. First we will calculate the prime factors of 70446 and 70450.

Prime Factorization of 70446

Prime Factorization of 70450

Now multiplying the highest exponent prime factors to calculate the LCM of 70446 and 70450.

LCM(70446,70450) = 2¹ × 3¹ × 59¹ × 199¹ × 5² × 1409¹
LCM(70446,70450) = 2481460350