What is the Least Common Multiple of 77720 and 77733?

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 77733 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 77733, than apply into the LCM equation.

GCF(77720,77733) = 1
LCM(77720,77733) = ( 77720 × 77733) / 1
LCM(77720,77733) = 6041408760 / 1
LCM(77720,77733) = 6041408760

Least Common Multiple (LCM) of 77720 and 77733 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77720 and 77733. First we will calculate the prime factors of 77720 and 77733.

Prime Factorization of 77720

Prime Factorization of 77733

Now multiplying the highest exponent prime factors to calculate the LCM of 77720 and 77733.

LCM(77720,77733) = 2³ × 5¹ × 29¹ × 67¹ × 3³ × 2879¹
LCM(77720,77733) = 6041408760