What is the Least Common Multiple of 53042 and 53048?

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 53042 and 53048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53042 and 53048, than apply into the LCM equation.

GCF(53042,53048) = 2
LCM(53042,53048) = ( 53042 × 53048) / 2
LCM(53042,53048) = 2813772016 / 2
LCM(53042,53048) = 1406886008

Least Common Multiple (LCM) of 53042 and 53048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53042 and 53048. First we will calculate the prime factors of 53042 and 53048.

Prime Factorization of 53042

Prime Factorization of 53048

Now multiplying the highest exponent prime factors to calculate the LCM of 53042 and 53048.

LCM(53042,53048) = 2³ × 11¹ × 2411¹ × 19¹ × 349¹
LCM(53042,53048) = 1406886008