What is the Least Common Multiple of 70905 and 70923?

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 70905 and 70923 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70905 and 70923, than apply into the LCM equation.

GCF(70905,70923) = 3
LCM(70905,70923) = ( 70905 × 70923) / 3
LCM(70905,70923) = 5028795315 / 3
LCM(70905,70923) = 1676265105

Least Common Multiple (LCM) of 70905 and 70923 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70905 and 70923. First we will calculate the prime factors of 70905 and 70923.

Prime Factorization of 70905

Prime Factorization of 70923

Now multiplying the highest exponent prime factors to calculate the LCM of 70905 and 70923.

LCM(70905,70923) = 3¹ × 5¹ × 29¹ × 163¹ × 47¹ × 503¹
LCM(70905,70923) = 1676265105