What is the Least Common Multiple of 77270 and 77289?

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 77270 and 77289 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77270 and 77289, than apply into the LCM equation.

GCF(77270,77289) = 1
LCM(77270,77289) = ( 77270 × 77289) / 1
LCM(77270,77289) = 5972121030 / 1
LCM(77270,77289) = 5972121030

Least Common Multiple (LCM) of 77270 and 77289 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77270 and 77289. First we will calculate the prime factors of 77270 and 77289.

Prime Factorization of 77270

Prime Factorization of 77289

Now multiplying the highest exponent prime factors to calculate the LCM of 77270 and 77289.

LCM(77270,77289) = 2¹ × 5¹ × 7727¹ × 3¹ × 25763¹
LCM(77270,77289) = 5972121030