What is the Least Common Multiple of 45896 and 45907?

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 45896 and 45907 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45896 and 45907, than apply into the LCM equation.

GCF(45896,45907) = 1
LCM(45896,45907) = ( 45896 × 45907) / 1
LCM(45896,45907) = 2106947672 / 1
LCM(45896,45907) = 2106947672

Least Common Multiple (LCM) of 45896 and 45907 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45896 and 45907. First we will calculate the prime factors of 45896 and 45907.

Prime Factorization of 45896

Prime Factorization of 45907

Now multiplying the highest exponent prime factors to calculate the LCM of 45896 and 45907.

LCM(45896,45907) = 2³ × 5737¹ × 29¹ × 1583¹
LCM(45896,45907) = 2106947672