What is the Least Common Multiple of 45436 and 45445?

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 45436 and 45445 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45436 and 45445, than apply into the LCM equation.

GCF(45436,45445) = 1
LCM(45436,45445) = ( 45436 × 45445) / 1
LCM(45436,45445) = 2064839020 / 1
LCM(45436,45445) = 2064839020

Least Common Multiple (LCM) of 45436 and 45445 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45436 and 45445. First we will calculate the prime factors of 45436 and 45445.

Prime Factorization of 45436

Prime Factorization of 45445

Now multiplying the highest exponent prime factors to calculate the LCM of 45436 and 45445.

LCM(45436,45445) = 2² × 37¹ × 307¹ × 5¹ × 61¹ × 149¹
LCM(45436,45445) = 2064839020