What is the Least Common Multiple of 76098 and 76103?

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 76098 and 76103 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76098 and 76103, than apply into the LCM equation.

GCF(76098,76103) = 1
LCM(76098,76103) = ( 76098 × 76103) / 1
LCM(76098,76103) = 5791286094 / 1
LCM(76098,76103) = 5791286094

Least Common Multiple (LCM) of 76098 and 76103 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76098 and 76103. First we will calculate the prime factors of 76098 and 76103.

Prime Factorization of 76098

Prime Factorization of 76103

Now multiplying the highest exponent prime factors to calculate the LCM of 76098 and 76103.

LCM(76098,76103) = 2¹ × 3¹ × 11¹ × 1153¹ × 76103¹
LCM(76098,76103) = 5791286094