What is the Least Common Multiple of 45446 and 45458?

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 45446 and 45458 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45446 and 45458, than apply into the LCM equation.

GCF(45446,45458) = 2
LCM(45446,45458) = ( 45446 × 45458) / 2
LCM(45446,45458) = 2065884268 / 2
LCM(45446,45458) = 1032942134

Least Common Multiple (LCM) of 45446 and 45458 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45446 and 45458. First we will calculate the prime factors of 45446 and 45458.

Prime Factorization of 45446

Prime Factorization of 45458

Now multiplying the highest exponent prime factors to calculate the LCM of 45446 and 45458.

LCM(45446,45458) = 2¹ × 31¹ × 733¹ × 7¹ × 17¹ × 191¹
LCM(45446,45458) = 1032942134