What is the Least Common Multiple of 70507 and 70524?
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 70507 and 70524 is 4972435668.
LCM(70507,70524) = 4972435668
Least Common Multiple of 70507 and 70524 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70507 and 70524, than apply into the LCM equation.
GCF(70507,70524) = 1
LCM(70507,70524) = ( 70507 × 70524) / 1
LCM(70507,70524) = 4972435668 / 1
LCM(70507,70524) = 4972435668
Least Common Multiple (LCM) of 70507 and 70524 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 70507 and 70524. First we will calculate the prime factors of 70507 and 70524.
Prime Factorization of 70507
Prime factors of 70507 are 70507. Prime factorization of 70507 in exponential form is:
70507 = 705071
Prime Factorization of 70524
Prime factors of 70524 are 2, 3, 653. Prime factorization of 70524 in exponential form is:
70524 = 22 × 33 × 6531
Now multiplying the highest exponent prime factors to calculate the LCM of 70507 and 70524.
LCM(70507,70524) = 705071 × 22 × 33 × 6531
LCM(70507,70524) = 4972435668
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