What is the Least Common Multiple of 76251 and 76270?

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 76251 and 76270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76251 and 76270, than apply into the LCM equation.

GCF(76251,76270) = 1
LCM(76251,76270) = ( 76251 × 76270) / 1
LCM(76251,76270) = 5815663770 / 1
LCM(76251,76270) = 5815663770

Least Common Multiple (LCM) of 76251 and 76270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76251 and 76270. First we will calculate the prime factors of 76251 and 76270.

Prime Factorization of 76251

Prime Factorization of 76270

Now multiplying the highest exponent prime factors to calculate the LCM of 76251 and 76270.

LCM(76251,76270) = 3¹ × 7¹ × 3631¹ × 2¹ × 5¹ × 29¹ × 263¹
LCM(76251,76270) = 5815663770