What is the Least Common Multiple of 77072 and 77080?

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 77072 and 77080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77072 and 77080, than apply into the LCM equation.

GCF(77072,77080) = 8
LCM(77072,77080) = ( 77072 × 77080) / 8
LCM(77072,77080) = 5940709760 / 8
LCM(77072,77080) = 742588720

Least Common Multiple (LCM) of 77072 and 77080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77072 and 77080. First we will calculate the prime factors of 77072 and 77080.

Prime Factorization of 77072

Prime Factorization of 77080

Now multiplying the highest exponent prime factors to calculate the LCM of 77072 and 77080.

LCM(77072,77080) = 2⁴ × 4817¹ × 5¹ × 41¹ × 47¹
LCM(77072,77080) = 742588720