What is the Least Common Multiple of 77229 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 77229 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 77229 and 77244, than apply into the LCM equation.

GCF(77229,77244) = 3
LCM(77229,77244) = ( 77229 × 77244) / 3
LCM(77229,77244) = 5965476876 / 3
LCM(77229,77244) = 1988492292

Least Common Multiple (LCM) of 77229 and 77244 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77229 and 77244. First we will calculate the prime factors of 77229 and 77244.

Prime Factorization of 77229

Prime Factorization of 77244

Now multiplying the highest exponent prime factors to calculate the LCM of 77229 and 77244.

LCM(77229,77244) = 3² × 8581¹ × 2² × 41¹ × 157¹
LCM(77229,77244) = 1988492292