What is the Least Common Multiple of 77048 and 77054?

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 77048 and 77054 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77048 and 77054, than apply into the LCM equation.

GCF(77048,77054) = 2
LCM(77048,77054) = ( 77048 × 77054) / 2
LCM(77048,77054) = 5936856592 / 2
LCM(77048,77054) = 2968428296

Least Common Multiple (LCM) of 77048 and 77054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77048 and 77054. First we will calculate the prime factors of 77048 and 77054.

Prime Factorization of 77048

Prime Factorization of 77054

Now multiplying the highest exponent prime factors to calculate the LCM of 77048 and 77054.

LCM(77048,77054) = 2³ × 9631¹ × 59¹ × 653¹
LCM(77048,77054) = 2968428296