What is the Least Common Multiple of 77249 and 77265?

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 77249 and 77265 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77249 and 77265, than apply into the LCM equation.

GCF(77249,77265) = 1
LCM(77249,77265) = ( 77249 × 77265) / 1
LCM(77249,77265) = 5968643985 / 1
LCM(77249,77265) = 5968643985

Least Common Multiple (LCM) of 77249 and 77265 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77249 and 77265. First we will calculate the prime factors of 77249 and 77265.

Prime Factorization of 77249

Prime Factorization of 77265

Now multiplying the highest exponent prime factors to calculate the LCM of 77249 and 77265.

LCM(77249,77265) = 77249¹ × 3² × 5¹ × 17¹ × 101¹
LCM(77249,77265) = 5968643985