What is the Least Common Multiple of 73874 and 73891?

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 73874 and 73891 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73874 and 73891, than apply into the LCM equation.

GCF(73874,73891) = 1
LCM(73874,73891) = ( 73874 × 73891) / 1
LCM(73874,73891) = 5458623734 / 1
LCM(73874,73891) = 5458623734

Least Common Multiple (LCM) of 73874 and 73891 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73874 and 73891. First we will calculate the prime factors of 73874 and 73891.

Prime Factorization of 73874

Prime Factorization of 73891

Now multiplying the highest exponent prime factors to calculate the LCM of 73874 and 73891.

LCM(73874,73891) = 2¹ × 43¹ × 859¹ × 19¹ × 3889¹
LCM(73874,73891) = 5458623734