What is the Least Common Multiple of 48758 and 48776?

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 48758 and 48776 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48758 and 48776, than apply into the LCM equation.

GCF(48758,48776) = 2
LCM(48758,48776) = ( 48758 × 48776) / 2
LCM(48758,48776) = 2378220208 / 2
LCM(48758,48776) = 1189110104

Least Common Multiple (LCM) of 48758 and 48776 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48758 and 48776. First we will calculate the prime factors of 48758 and 48776.

Prime Factorization of 48758

Prime Factorization of 48776

Now multiplying the highest exponent prime factors to calculate the LCM of 48758 and 48776.

LCM(48758,48776) = 2³ × 24379¹ × 7¹ × 13¹ × 67¹
LCM(48758,48776) = 1189110104