What is the Least Common Multiple of 49767 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 49767 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 49767 and 49776, than apply into the LCM equation.

GCF(49767,49776) = 3
LCM(49767,49776) = ( 49767 × 49776) / 3
LCM(49767,49776) = 2477202192 / 3
LCM(49767,49776) = 825734064

Least Common Multiple (LCM) of 49767 and 49776 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49767 and 49776. First we will calculate the prime factors of 49767 and 49776.

Prime Factorization of 49767

Prime Factorization of 49776

Now multiplying the highest exponent prime factors to calculate the LCM of 49767 and 49776.

LCM(49767,49776) = 3¹ × 53¹ × 313¹ × 2⁴ × 17¹ × 61¹
LCM(49767,49776) = 825734064