What is the Least Common Multiple of 45758 and 45776?

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 45758 and 45776 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45758 and 45776, than apply into the LCM equation.

GCF(45758,45776) = 2
LCM(45758,45776) = ( 45758 × 45776) / 2
LCM(45758,45776) = 2094618208 / 2
LCM(45758,45776) = 1047309104

Least Common Multiple (LCM) of 45758 and 45776 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45758 and 45776. First we will calculate the prime factors of 45758 and 45776.

Prime Factorization of 45758

Prime Factorization of 45776

Now multiplying the highest exponent prime factors to calculate the LCM of 45758 and 45776.

LCM(45758,45776) = 2⁴ × 137¹ × 167¹ × 2861¹
LCM(45758,45776) = 1047309104