What is the Least Common Multiple of 67890 and 67900?

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 67890 and 67900 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67890 and 67900, than apply into the LCM equation.

GCF(67890,67900) = 10
LCM(67890,67900) = ( 67890 × 67900) / 10
LCM(67890,67900) = 4609731000 / 10
LCM(67890,67900) = 460973100

Least Common Multiple (LCM) of 67890 and 67900 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67890 and 67900. First we will calculate the prime factors of 67890 and 67900.

Prime Factorization of 67890

Prime Factorization of 67900

Now multiplying the highest exponent prime factors to calculate the LCM of 67890 and 67900.

LCM(67890,67900) = 2² × 3¹ × 5² × 31¹ × 73¹ × 7¹ × 97¹
LCM(67890,67900) = 460973100