What is the Least Common Multiple of 40257 and 40277?

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 40257 and 40277 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40257 and 40277, than apply into the LCM equation.

GCF(40257,40277) = 1
LCM(40257,40277) = ( 40257 × 40277) / 1
LCM(40257,40277) = 1621431189 / 1
LCM(40257,40277) = 1621431189

Least Common Multiple (LCM) of 40257 and 40277 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 40257 and 40277. First we will calculate the prime factors of 40257 and 40277.

Prime Factorization of 40257

Prime Factorization of 40277

Now multiplying the highest exponent prime factors to calculate the LCM of 40257 and 40277.

LCM(40257,40277) = 3⁴ × 7¹ × 71¹ × 40277¹
LCM(40257,40277) = 1621431189