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What is the Least Common Multiple of 67964 and 67970?

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 67964 and 67970 is 2309756540.

LCM(67964,67970) = 2309756540

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Least Common Multiple of 67964 and 67970 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67964 and 67970, than apply into the LCM equation.

GCF(67964,67970) = 2
LCM(67964,67970) = ( 67964 × 67970) / 2
LCM(67964,67970) = 4619513080 / 2
LCM(67964,67970) = 2309756540

Least Common Multiple (LCM) of 67964 and 67970 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67964 and 67970. First we will calculate the prime factors of 67964 and 67970.

Prime Factorization of 67964

Prime factors of 67964 are 2, 13, 1307. Prime factorization of 67964 in exponential form is:

67964 = 22 × 131 × 13071

Prime Factorization of 67970

Prime factors of 67970 are 2, 5, 7, 971. Prime factorization of 67970 in exponential form is:

67970 = 21 × 51 × 71 × 9711

Now multiplying the highest exponent prime factors to calculate the LCM of 67964 and 67970.

LCM(67964,67970) = 22 × 131 × 13071 × 51 × 71 × 9711
LCM(67964,67970) = 2309756540