What is the Least Common Multiple of 97970 and 97974?

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 97974 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 97974, than apply into the LCM equation.

GCF(97970,97974) = 2
LCM(97970,97974) = ( 97970 × 97974) / 2
LCM(97970,97974) = 9598512780 / 2
LCM(97970,97974) = 4799256390

Least Common Multiple (LCM) of 97970 and 97974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97970 and 97974. First we will calculate the prime factors of 97970 and 97974.

Prime Factorization of 97970

Prime Factorization of 97974

Now multiplying the highest exponent prime factors to calculate the LCM of 97970 and 97974.

LCM(97970,97974) = 2¹ × 5¹ × 97¹ × 101¹ × 3² × 5443¹
LCM(97970,97974) = 4799256390