What is the Least Common Multiple of 70742 and 70748?
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 70742 and 70748 is 2502427508.
LCM(70742,70748) = 2502427508
Least Common Multiple of 70742 and 70748 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70742 and 70748, than apply into the LCM equation.
GCF(70742,70748) = 2
LCM(70742,70748) = ( 70742 × 70748) / 2
LCM(70742,70748) = 5004855016 / 2
LCM(70742,70748) = 2502427508
Least Common Multiple (LCM) of 70742 and 70748 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 70742 and 70748. First we will calculate the prime factors of 70742 and 70748.
Prime Factorization of 70742
Prime factors of 70742 are 2, 7, 31, 163. Prime factorization of 70742 in exponential form is:
70742 = 21 × 71 × 311 × 1631
Prime Factorization of 70748
Prime factors of 70748 are 2, 23, 769. Prime factorization of 70748 in exponential form is:
70748 = 22 × 231 × 7691
Now multiplying the highest exponent prime factors to calculate the LCM of 70742 and 70748.
LCM(70742,70748) = 22 × 71 × 311 × 1631 × 231 × 7691
LCM(70742,70748) = 2502427508
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