What is the Least Common Multiple of 49758 and 49778?

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 49758 and 49778 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49758 and 49778, than apply into the LCM equation.

GCF(49758,49778) = 2
LCM(49758,49778) = ( 49758 × 49778) / 2
LCM(49758,49778) = 2476853724 / 2
LCM(49758,49778) = 1238426862

Least Common Multiple (LCM) of 49758 and 49778 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49758 and 49778. First we will calculate the prime factors of 49758 and 49778.

Prime Factorization of 49758

Prime Factorization of 49778

Now multiplying the highest exponent prime factors to calculate the LCM of 49758 and 49778.

LCM(49758,49778) = 2¹ × 3¹ × 8293¹ × 24889¹
LCM(49758,49778) = 1238426862