What is the Least Common Multiple of 45926 and 45935?

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 45935 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 45935, than apply into the LCM equation.

GCF(45926,45935) = 1
LCM(45926,45935) = ( 45926 × 45935) / 1
LCM(45926,45935) = 2109610810 / 1
LCM(45926,45935) = 2109610810

Least Common Multiple (LCM) of 45926 and 45935 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45926 and 45935. First we will calculate the prime factors of 45926 and 45935.

Prime Factorization of 45926

Prime Factorization of 45935

Now multiplying the highest exponent prime factors to calculate the LCM of 45926 and 45935.

LCM(45926,45935) = 2¹ × 22963¹ × 5¹ × 9187¹
LCM(45926,45935) = 2109610810