What is the Least Common Multiple of 45926 and 45945?

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 45926 and 45945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45926 and 45945, than apply into the LCM equation.

GCF(45926,45945) = 1
LCM(45926,45945) = ( 45926 × 45945) / 1
LCM(45926,45945) = 2110070070 / 1
LCM(45926,45945) = 2110070070

Least Common Multiple (LCM) of 45926 and 45945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45926 and 45945. First we will calculate the prime factors of 45926 and 45945.

Prime Factorization of 45926

Prime Factorization of 45945

Now multiplying the highest exponent prime factors to calculate the LCM of 45926 and 45945.

LCM(45926,45945) = 2¹ × 22963¹ × 3² × 5¹ × 1021¹
LCM(45926,45945) = 2110070070