What is the Least Common Multiple of 70367 and 70387?
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 70367 and 70387 is 4952922029.
LCM(70367,70387) = 4952922029
Least Common Multiple of 70367 and 70387 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70367 and 70387, than apply into the LCM equation.
GCF(70367,70387) = 1
LCM(70367,70387) = ( 70367 × 70387) / 1
LCM(70367,70387) = 4952922029 / 1
LCM(70367,70387) = 4952922029
Least Common Multiple (LCM) of 70367 and 70387 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 70367 and 70387. First we will calculate the prime factors of 70367 and 70387.
Prime Factorization of 70367
Prime factors of 70367 are 11, 6397. Prime factorization of 70367 in exponential form is:
70367 = 111 × 63971
Prime Factorization of 70387
Prime factors of 70387 are 59, 1193. Prime factorization of 70387 in exponential form is:
70387 = 591 × 11931
Now multiplying the highest exponent prime factors to calculate the LCM of 70367 and 70387.
LCM(70367,70387) = 111 × 63971 × 591 × 11931
LCM(70367,70387) = 4952922029
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