What is the Least Common Multiple of 97970 and 97982?

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 97970 and 97982 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97970 and 97982, than apply into the LCM equation.

GCF(97970,97982) = 2
LCM(97970,97982) = ( 97970 × 97982) / 2
LCM(97970,97982) = 9599296540 / 2
LCM(97970,97982) = 4799648270

Least Common Multiple (LCM) of 97970 and 97982 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97970 and 97982. First we will calculate the prime factors of 97970 and 97982.

Prime Factorization of 97970

Prime Factorization of 97982

Now multiplying the highest exponent prime factors to calculate the LCM of 97970 and 97982.

LCM(97970,97982) = 2¹ × 5¹ × 97¹ × 101¹ × 48991¹
LCM(97970,97982) = 4799648270