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What is the Least Common Multiple of 67620 and 67624?

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 67620 and 67624 is 1143183720.

LCM(67620,67624) = 1143183720

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Least Common Multiple of 67620 and 67624 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67620 and 67624, than apply into the LCM equation.

GCF(67620,67624) = 4
LCM(67620,67624) = ( 67620 × 67624) / 4
LCM(67620,67624) = 4572734880 / 4
LCM(67620,67624) = 1143183720

Least Common Multiple (LCM) of 67620 and 67624 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67620 and 67624. First we will calculate the prime factors of 67620 and 67624.

Prime Factorization of 67620

Prime factors of 67620 are 2, 3, 5, 7, 23. Prime factorization of 67620 in exponential form is:

67620 = 22 × 31 × 51 × 72 × 231

Prime Factorization of 67624

Prime factors of 67624 are 2, 79, 107. Prime factorization of 67624 in exponential form is:

67624 = 23 × 791 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 67620 and 67624.

LCM(67620,67624) = 23 × 31 × 51 × 72 × 231 × 791 × 1071
LCM(67620,67624) = 1143183720