What is the Least Common Multiple of 97950 and 97970?

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 97950 and 97970 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97950 and 97970, than apply into the LCM equation.

GCF(97950,97970) = 10
LCM(97950,97970) = ( 97950 × 97970) / 10
LCM(97950,97970) = 9596161500 / 10
LCM(97950,97970) = 959616150

Least Common Multiple (LCM) of 97950 and 97970 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97950 and 97970. First we will calculate the prime factors of 97950 and 97970.

Prime Factorization of 97950

Prime Factorization of 97970

Now multiplying the highest exponent prime factors to calculate the LCM of 97950 and 97970.

LCM(97950,97970) = 2¹ × 3¹ × 5² × 653¹ × 97¹ × 101¹
LCM(97950,97970) = 959616150