What is the Least Common Multiple of 49896 and 49907?

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 49896 and 49907 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49896 and 49907, than apply into the LCM equation.

GCF(49896,49907) = 11
LCM(49896,49907) = ( 49896 × 49907) / 11
LCM(49896,49907) = 2490159672 / 11
LCM(49896,49907) = 226378152

Least Common Multiple (LCM) of 49896 and 49907 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49896 and 49907. First we will calculate the prime factors of 49896 and 49907.

Prime Factorization of 49896

Prime Factorization of 49907

Now multiplying the highest exponent prime factors to calculate the LCM of 49896 and 49907.

LCM(49896,49907) = 2³ × 3⁴ × 7¹ × 11¹ × 13¹ × 349¹
LCM(49896,49907) = 226378152