What is the Least Common Multiple of 76272 and 76287?

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 76272 and 76287 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76272 and 76287, than apply into the LCM equation.

GCF(76272,76287) = 3
LCM(76272,76287) = ( 76272 × 76287) / 3
LCM(76272,76287) = 5818562064 / 3
LCM(76272,76287) = 1939520688

Least Common Multiple (LCM) of 76272 and 76287 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76272 and 76287. First we will calculate the prime factors of 76272 and 76287.

Prime Factorization of 76272

Prime Factorization of 76287

Now multiplying the highest exponent prime factors to calculate the LCM of 76272 and 76287.

LCM(76272,76287) = 2⁴ × 3¹ × 7¹ × 227¹ × 59¹ × 431¹
LCM(76272,76287) = 1939520688