What is the Least Common Multiple of 70603 and 70613?
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 70603 and 70613 is 4985489639.
LCM(70603,70613) = 4985489639
Least Common Multiple of 70603 and 70613 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70603 and 70613, than apply into the LCM equation.
GCF(70603,70613) = 1
LCM(70603,70613) = ( 70603 × 70613) / 1
LCM(70603,70613) = 4985489639 / 1
LCM(70603,70613) = 4985489639
Least Common Multiple (LCM) of 70603 and 70613 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 70603 and 70613. First we will calculate the prime factors of 70603 and 70613.
Prime Factorization of 70603
Prime factors of 70603 are 13, 5431. Prime factorization of 70603 in exponential form is:
70603 = 131 × 54311
Prime Factorization of 70613
Prime factors of 70613 are 241, 293. Prime factorization of 70613 in exponential form is:
70613 = 2411 × 2931
Now multiplying the highest exponent prime factors to calculate the LCM of 70603 and 70613.
LCM(70603,70613) = 131 × 54311 × 2411 × 2931
LCM(70603,70613) = 4985489639
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