What is the Least Common Multiple of 76024 and 76040?

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 76024 and 76040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76024 and 76040, than apply into the LCM equation.

GCF(76024,76040) = 8
LCM(76024,76040) = ( 76024 × 76040) / 8
LCM(76024,76040) = 5780864960 / 8
LCM(76024,76040) = 722608120

Least Common Multiple (LCM) of 76024 and 76040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76024 and 76040. First we will calculate the prime factors of 76024 and 76040.

Prime Factorization of 76024

Prime Factorization of 76040

Now multiplying the highest exponent prime factors to calculate the LCM of 76024 and 76040.

LCM(76024,76040) = 2³ × 13¹ × 17¹ × 43¹ × 5¹ × 1901¹
LCM(76024,76040) = 722608120