What is the Least Common Multiple of 56430 and 56445?

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 56430 and 56445 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56430 and 56445, than apply into the LCM equation.

GCF(56430,56445) = 15
LCM(56430,56445) = ( 56430 × 56445) / 15
LCM(56430,56445) = 3185191350 / 15
LCM(56430,56445) = 212346090

Least Common Multiple (LCM) of 56430 and 56445 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56430 and 56445. First we will calculate the prime factors of 56430 and 56445.

Prime Factorization of 56430

Prime Factorization of 56445

Now multiplying the highest exponent prime factors to calculate the LCM of 56430 and 56445.

LCM(56430,56445) = 2¹ × 3³ × 5¹ × 11¹ × 19¹ × 53¹ × 71¹
LCM(56430,56445) = 212346090