What is the Least Common Multiple of 97070 and 97076?

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 97070 and 97076 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 97070 and 97076, than apply into the LCM equation.

GCF(97070,97076) = 2
LCM(97070,97076) = ( 97070 × 97076) / 2
LCM(97070,97076) = 9423167320 / 2
LCM(97070,97076) = 4711583660

Least Common Multiple (LCM) of 97070 and 97076 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 97070 and 97076. First we will calculate the prime factors of 97070 and 97076.

Prime Factorization of 97070

Prime Factorization of 97076

Now multiplying the highest exponent prime factors to calculate the LCM of 97070 and 97076.

LCM(97070,97076) = 2² × 5¹ × 17¹ × 571¹ × 7¹ × 3467¹
LCM(97070,97076) = 4711583660