What is the Least Common Multiple of 42763 and 42770?

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 42763 and 42770 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42763 and 42770, than apply into the LCM equation.

GCF(42763,42770) = 7
LCM(42763,42770) = ( 42763 × 42770) / 7
LCM(42763,42770) = 1828973510 / 7
LCM(42763,42770) = 261281930

Least Common Multiple (LCM) of 42763 and 42770 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42763 and 42770. First we will calculate the prime factors of 42763 and 42770.

Prime Factorization of 42763

Prime Factorization of 42770

Now multiplying the highest exponent prime factors to calculate the LCM of 42763 and 42770.

LCM(42763,42770) = 7¹ × 41¹ × 149¹ × 2¹ × 5¹ × 13¹ × 47¹
LCM(42763,42770) = 261281930