What is the Least Common Multiple of 77424 and 77441?

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 77424 and 77441 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77424 and 77441, than apply into the LCM equation.

GCF(77424,77441) = 1
LCM(77424,77441) = ( 77424 × 77441) / 1
LCM(77424,77441) = 5995791984 / 1
LCM(77424,77441) = 5995791984

Least Common Multiple (LCM) of 77424 and 77441 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77424 and 77441. First we will calculate the prime factors of 77424 and 77441.

Prime Factorization of 77424

Prime Factorization of 77441

Now multiplying the highest exponent prime factors to calculate the LCM of 77424 and 77441.

LCM(77424,77441) = 2⁴ × 3¹ × 1613¹ × 7¹ × 13¹ × 23¹ × 37¹
LCM(77424,77441) = 5995791984