What is the Least Common Multiple of 70760 and 70768?
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 70760 and 70768 is 625942960.
LCM(70760,70768) = 625942960
Least Common Multiple of 70760 and 70768 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70760 and 70768, than apply into the LCM equation.
GCF(70760,70768) = 8
LCM(70760,70768) = ( 70760 × 70768) / 8
LCM(70760,70768) = 5007543680 / 8
LCM(70760,70768) = 625942960
Least Common Multiple (LCM) of 70760 and 70768 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 70760 and 70768. First we will calculate the prime factors of 70760 and 70768.
Prime Factorization of 70760
Prime factors of 70760 are 2, 5, 29, 61. Prime factorization of 70760 in exponential form is:
70760 = 23 × 51 × 291 × 611
Prime Factorization of 70768
Prime factors of 70768 are 2, 4423. Prime factorization of 70768 in exponential form is:
70768 = 24 × 44231
Now multiplying the highest exponent prime factors to calculate the LCM of 70760 and 70768.
LCM(70760,70768) = 24 × 51 × 291 × 611 × 44231
LCM(70760,70768) = 625942960
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