What is the Least Common Multiple of 97435 and 97448?

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 97435 and 97448 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97435 and 97448, than apply into the LCM equation.

GCF(97435,97448) = 13
LCM(97435,97448) = ( 97435 × 97448) / 13
LCM(97435,97448) = 9494845880 / 13
LCM(97435,97448) = 730372760

Least Common Multiple (LCM) of 97435 and 97448 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97435 and 97448. First we will calculate the prime factors of 97435 and 97448.

Prime Factorization of 97435

Prime Factorization of 97448

Now multiplying the highest exponent prime factors to calculate the LCM of 97435 and 97448.

LCM(97435,97448) = 5¹ × 13¹ × 1499¹ × 2³ × 937¹
LCM(97435,97448) = 730372760