What is the Least Common Multiple of 77205 and 77217?

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 77205 and 77217 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77205 and 77217, than apply into the LCM equation.

GCF(77205,77217) = 3
LCM(77205,77217) = ( 77205 × 77217) / 3
LCM(77205,77217) = 5961538485 / 3
LCM(77205,77217) = 1987179495

Least Common Multiple (LCM) of 77205 and 77217 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77205 and 77217. First we will calculate the prime factors of 77205 and 77217.

Prime Factorization of 77205

Prime Factorization of 77217

Now multiplying the highest exponent prime factors to calculate the LCM of 77205 and 77217.

LCM(77205,77217) = 3¹ × 5¹ × 5147¹ × 7¹ × 3677¹
LCM(77205,77217) = 1987179495