What is the Least Common Multiple of 76457 and 76469?

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 76457 and 76469 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76457 and 76469, than apply into the LCM equation.

GCF(76457,76469) = 1
LCM(76457,76469) = ( 76457 × 76469) / 1
LCM(76457,76469) = 5846590333 / 1
LCM(76457,76469) = 5846590333

Least Common Multiple (LCM) of 76457 and 76469 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76457 and 76469. First we will calculate the prime factors of 76457 and 76469.

Prime Factorization of 76457

Prime Factorization of 76469

Now multiplying the highest exponent prime factors to calculate the LCM of 76457 and 76469.

LCM(76457,76469) = 101¹ × 757¹ × 47¹ × 1627¹
LCM(76457,76469) = 5846590333