What is the Least Common Multiple of 97948 and 97966?

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 97948 and 97966 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97948 and 97966, than apply into the LCM equation.

GCF(97948,97966) = 2
LCM(97948,97966) = ( 97948 × 97966) / 2
LCM(97948,97966) = 9595573768 / 2
LCM(97948,97966) = 4797786884

Least Common Multiple (LCM) of 97948 and 97966 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97948 and 97966. First we will calculate the prime factors of 97948 and 97966.

Prime Factorization of 97948

Prime Factorization of 97966

Now multiplying the highest exponent prime factors to calculate the LCM of 97948 and 97966.

LCM(97948,97966) = 2² × 47¹ × 521¹ × 11¹ × 61¹ × 73¹
LCM(97948,97966) = 4797786884