What is the Least Common Multiple of 77720 and 77740?

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 77720 and 77740 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77720 and 77740, than apply into the LCM equation.

GCF(77720,77740) = 20
LCM(77720,77740) = ( 77720 × 77740) / 20
LCM(77720,77740) = 6041952800 / 20
LCM(77720,77740) = 302097640

Least Common Multiple (LCM) of 77720 and 77740 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77720 and 77740. First we will calculate the prime factors of 77720 and 77740.

Prime Factorization of 77720

Prime Factorization of 77740

Now multiplying the highest exponent prime factors to calculate the LCM of 77720 and 77740.

LCM(77720,77740) = 2³ × 5¹ × 29¹ × 67¹ × 13² × 23¹
LCM(77720,77740) = 302097640