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What is the Least Common Multiple of 67430 and 67450?

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 (LCM) of 67430 and 67450 is 454815350.

LCM(67430,67450) = 454815350

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Least Common Multiple of 67430 and 67450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67430 and 67450, than apply into the LCM equation.

GCF(67430,67450) = 10
LCM(67430,67450) = ( 67430 × 67450) / 10
LCM(67430,67450) = 4548153500 / 10
LCM(67430,67450) = 454815350

Least Common Multiple (LCM) of 67430 and 67450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67430 and 67450. First we will calculate the prime factors of 67430 and 67450.

Prime Factorization of 67430

Prime factors of 67430 are 2, 5, 11, 613. Prime factorization of 67430 in exponential form is:

67430 = 21 × 51 × 111 × 6131

Prime Factorization of 67450

Prime factors of 67450 are 2, 5, 19, 71. Prime factorization of 67450 in exponential form is:

67450 = 21 × 52 × 191 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 67430 and 67450.

LCM(67430,67450) = 21 × 52 × 111 × 6131 × 191 × 711
LCM(67430,67450) = 454815350