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What is the Least Common Multiple of 70028 and 70034?

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 70028 and 70034 is 2452170476.

LCM(70028,70034) = 2452170476

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Least Common Multiple of 70028 and 70034 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70028 and 70034, than apply into the LCM equation.

GCF(70028,70034) = 2
LCM(70028,70034) = ( 70028 × 70034) / 2
LCM(70028,70034) = 4904340952 / 2
LCM(70028,70034) = 2452170476

Least Common Multiple (LCM) of 70028 and 70034 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70028 and 70034. First we will calculate the prime factors of 70028 and 70034.

Prime Factorization of 70028

Prime factors of 70028 are 2, 7, 41, 61. Prime factorization of 70028 in exponential form is:

70028 = 22 × 71 × 411 × 611

Prime Factorization of 70034

Prime factors of 70034 are 2, 19, 97. Prime factorization of 70034 in exponential form is:

70034 = 21 × 192 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 70028 and 70034.

LCM(70028,70034) = 22 × 71 × 411 × 611 × 192 × 971
LCM(70028,70034) = 2452170476