What is the Least Common Multiple of 70427 and 70436?
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 70427 and 70436 is 4960596172.
LCM(70427,70436) = 4960596172
Least Common Multiple of 70427 and 70436 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70427 and 70436, than apply into the LCM equation.
GCF(70427,70436) = 1
LCM(70427,70436) = ( 70427 × 70436) / 1
LCM(70427,70436) = 4960596172 / 1
LCM(70427,70436) = 4960596172
Least Common Multiple (LCM) of 70427 and 70436 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 70427 and 70436. First we will calculate the prime factors of 70427 and 70436.
Prime Factorization of 70427
Prime factors of 70427 are 7, 10061. Prime factorization of 70427 in exponential form is:
70427 = 71 × 100611
Prime Factorization of 70436
Prime factors of 70436 are 2, 17609. Prime factorization of 70436 in exponential form is:
70436 = 22 × 176091
Now multiplying the highest exponent prime factors to calculate the LCM of 70427 and 70436.
LCM(70427,70436) = 71 × 100611 × 22 × 176091
LCM(70427,70436) = 4960596172
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