What is the Least Common Multiple of 71106 and 71119?

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 71106 and 71119 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71106 and 71119, than apply into the LCM equation.

GCF(71106,71119) = 1
LCM(71106,71119) = ( 71106 × 71119) / 1
LCM(71106,71119) = 5056987614 / 1
LCM(71106,71119) = 5056987614

Least Common Multiple (LCM) of 71106 and 71119 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71106 and 71119. First we will calculate the prime factors of 71106 and 71119.

Prime Factorization of 71106

Prime Factorization of 71119

Now multiplying the highest exponent prime factors to calculate the LCM of 71106 and 71119.

LCM(71106,71119) = 2¹ × 3¹ × 7¹ × 1693¹ × 71119¹
LCM(71106,71119) = 5056987614