What is the Least Common Multiple of 68620 and 68638?

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 68620 and 68638 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68620 and 68638, than apply into the LCM equation.

GCF(68620,68638) = 2
LCM(68620,68638) = ( 68620 × 68638) / 2
LCM(68620,68638) = 4709939560 / 2
LCM(68620,68638) = 2354969780

Least Common Multiple (LCM) of 68620 and 68638 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68620 and 68638. First we will calculate the prime factors of 68620 and 68638.

Prime Factorization of 68620

Prime Factorization of 68638

Now multiplying the highest exponent prime factors to calculate the LCM of 68620 and 68638.

LCM(68620,68638) = 2² × 5¹ × 47¹ × 73¹ × 34319¹
LCM(68620,68638) = 2354969780