What is the Least Common Multiple of 48774 and 48778?

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 48774 and 48778 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48774 and 48778, than apply into the LCM equation.

GCF(48774,48778) = 2
LCM(48774,48778) = ( 48774 × 48778) / 2
LCM(48774,48778) = 2379098172 / 2
LCM(48774,48778) = 1189549086

Least Common Multiple (LCM) of 48774 and 48778 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48774 and 48778. First we will calculate the prime factors of 48774 and 48778.

Prime Factorization of 48774

Prime Factorization of 48778

Now multiplying the highest exponent prime factors to calculate the LCM of 48774 and 48778.

LCM(48774,48778) = 2¹ × 3¹ × 11¹ × 739¹ × 29³
LCM(48774,48778) = 1189549086