What is the Least Common Multiple of 40080 and 40092?

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 40080 and 40092 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40080 and 40092, than apply into the LCM equation.

GCF(40080,40092) = 12
LCM(40080,40092) = ( 40080 × 40092) / 12
LCM(40080,40092) = 1606887360 / 12
LCM(40080,40092) = 133907280

Least Common Multiple (LCM) of 40080 and 40092 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40080 and 40092. First we will calculate the prime factors of 40080 and 40092.

Prime Factorization of 40080

Prime Factorization of 40092

Now multiplying the highest exponent prime factors to calculate the LCM of 40080 and 40092.

LCM(40080,40092) = 2⁴ × 3¹ × 5¹ × 167¹ × 13¹ × 257¹
LCM(40080,40092) = 133907280