What is the Least Common Multiple of 77231 and 77244?

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 77231 and 77244 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77231 and 77244, than apply into the LCM equation.

GCF(77231,77244) = 1
LCM(77231,77244) = ( 77231 × 77244) / 1
LCM(77231,77244) = 5965631364 / 1
LCM(77231,77244) = 5965631364

Least Common Multiple (LCM) of 77231 and 77244 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77231 and 77244. First we will calculate the prime factors of 77231 and 77244.

Prime Factorization of 77231

Prime Factorization of 77244

Now multiplying the highest exponent prime factors to calculate the LCM of 77231 and 77244.

LCM(77231,77244) = 7¹ × 11¹ × 17¹ × 59¹ × 2² × 3¹ × 41¹ × 157¹
LCM(77231,77244) = 5965631364