What is the Least Common Multiple of 70968 and 70980?

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 70968 and 70980 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70968 and 70980, than apply into the LCM equation.

GCF(70968,70980) = 12
LCM(70968,70980) = ( 70968 × 70980) / 12
LCM(70968,70980) = 5037308640 / 12
LCM(70968,70980) = 419775720

Least Common Multiple (LCM) of 70968 and 70980 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70968 and 70980. First we will calculate the prime factors of 70968 and 70980.

Prime Factorization of 70968

Prime Factorization of 70980

Now multiplying the highest exponent prime factors to calculate the LCM of 70968 and 70980.

LCM(70968,70980) = 2³ × 3¹ × 2957¹ × 5¹ × 7¹ × 13²
LCM(70968,70980) = 419775720