What is the Least Common Multiple of 98783 and 98787?

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 98783 and 98787 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98783 and 98787, than apply into the LCM equation.

GCF(98783,98787) = 1
LCM(98783,98787) = ( 98783 × 98787) / 1
LCM(98783,98787) = 9758476221 / 1
LCM(98783,98787) = 9758476221

Least Common Multiple (LCM) of 98783 and 98787 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98783 and 98787. First we will calculate the prime factors of 98783 and 98787.

Prime Factorization of 98783

Prime Factorization of 98787

Now multiplying the highest exponent prime factors to calculate the LCM of 98783 and 98787.

LCM(98783,98787) = 173¹ × 571¹ × 3¹ × 13¹ × 17¹ × 149¹
LCM(98783,98787) = 9758476221