What is the Least Common Multiple of 97983 and 98002?

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 97983 and 98002 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97983 and 98002, than apply into the LCM equation.

GCF(97983,98002) = 19
LCM(97983,98002) = ( 97983 × 98002) / 19
LCM(97983,98002) = 9602529966 / 19
LCM(97983,98002) = 505396314

Least Common Multiple (LCM) of 97983 and 98002 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97983 and 98002. First we will calculate the prime factors of 97983 and 98002.

Prime Factorization of 97983

Prime Factorization of 98002

Now multiplying the highest exponent prime factors to calculate the LCM of 97983 and 98002.

LCM(97983,98002) = 3³ × 19¹ × 191¹ × 2¹ × 2579¹
LCM(97983,98002) = 505396314