What is the Least Common Multiple of 77040 and 77048?

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 77040 and 77048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77040 and 77048, than apply into the LCM equation.

GCF(77040,77048) = 8
LCM(77040,77048) = ( 77040 × 77048) / 8
LCM(77040,77048) = 5935777920 / 8
LCM(77040,77048) = 741972240

Least Common Multiple (LCM) of 77040 and 77048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77040 and 77048. First we will calculate the prime factors of 77040 and 77048.

Prime Factorization of 77040

Prime Factorization of 77048

Now multiplying the highest exponent prime factors to calculate the LCM of 77040 and 77048.

LCM(77040,77048) = 2⁴ × 3² × 5¹ × 107¹ × 9631¹
LCM(77040,77048) = 741972240