What is the Least Common Multiple of 49756 and 49776?

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 49756 and 49776 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49756 and 49776, than apply into the LCM equation.

GCF(49756,49776) = 4
LCM(49756,49776) = ( 49756 × 49776) / 4
LCM(49756,49776) = 2476654656 / 4
LCM(49756,49776) = 619163664

Least Common Multiple (LCM) of 49756 and 49776 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49756 and 49776. First we will calculate the prime factors of 49756 and 49776.

Prime Factorization of 49756

Prime Factorization of 49776

Now multiplying the highest exponent prime factors to calculate the LCM of 49756 and 49776.

LCM(49756,49776) = 2⁴ × 7¹ × 1777¹ × 3¹ × 17¹ × 61¹
LCM(49756,49776) = 619163664