What is the Least Common Multiple of 70124 and 70143?
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 70124 and 70143 is 4918707732.
LCM(70124,70143) = 4918707732
Least Common Multiple of 70124 and 70143 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70124 and 70143, than apply into the LCM equation.
GCF(70124,70143) = 1
LCM(70124,70143) = ( 70124 × 70143) / 1
LCM(70124,70143) = 4918707732 / 1
LCM(70124,70143) = 4918707732
Least Common Multiple (LCM) of 70124 and 70143 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 70124 and 70143. First we will calculate the prime factors of 70124 and 70143.
Prime Factorization of 70124
Prime factors of 70124 are 2, 47, 373. Prime factorization of 70124 in exponential form is:
70124 = 22 × 471 × 3731
Prime Factorization of 70143
Prime factors of 70143 are 3, 103, 227. Prime factorization of 70143 in exponential form is:
70143 = 31 × 1031 × 2271
Now multiplying the highest exponent prime factors to calculate the LCM of 70124 and 70143.
LCM(70124,70143) = 22 × 471 × 3731 × 31 × 1031 × 2271
LCM(70124,70143) = 4918707732
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