What is the Least Common Multiple of 77504 and 77518?

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 77504 and 77518 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77504 and 77518, than apply into the LCM equation.

GCF(77504,77518) = 14
LCM(77504,77518) = ( 77504 × 77518) / 14
LCM(77504,77518) = 6007955072 / 14
LCM(77504,77518) = 429139648

Least Common Multiple (LCM) of 77504 and 77518 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77504 and 77518. First we will calculate the prime factors of 77504 and 77518.

Prime Factorization of 77504

Prime Factorization of 77518

Now multiplying the highest exponent prime factors to calculate the LCM of 77504 and 77518.

LCM(77504,77518) = 2⁶ × 7³ × 173¹ × 113¹
LCM(77504,77518) = 429139648