What is the Least Common Multiple of 45698 and 45712?

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 45698 and 45712 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45698 and 45712, than apply into the LCM equation.

GCF(45698,45712) = 2
LCM(45698,45712) = ( 45698 × 45712) / 2
LCM(45698,45712) = 2088946976 / 2
LCM(45698,45712) = 1044473488

Least Common Multiple (LCM) of 45698 and 45712 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45698 and 45712. First we will calculate the prime factors of 45698 and 45712.

Prime Factorization of 45698

Prime Factorization of 45712

Now multiplying the highest exponent prime factors to calculate the LCM of 45698 and 45712.

LCM(45698,45712) = 2⁴ × 73¹ × 313¹ × 2857¹
LCM(45698,45712) = 1044473488