What is the Least Common Multiple of 70352 and 70362?
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 70352 and 70362 is 2475053712.
LCM(70352,70362) = 2475053712
Least Common Multiple of 70352 and 70362 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70352 and 70362, than apply into the LCM equation.
GCF(70352,70362) = 2
LCM(70352,70362) = ( 70352 × 70362) / 2
LCM(70352,70362) = 4950107424 / 2
LCM(70352,70362) = 2475053712
Least Common Multiple (LCM) of 70352 and 70362 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 70352 and 70362. First we will calculate the prime factors of 70352 and 70362.
Prime Factorization of 70352
Prime factors of 70352 are 2, 4397. Prime factorization of 70352 in exponential form is:
70352 = 24 × 43971
Prime Factorization of 70362
Prime factors of 70362 are 2, 3, 1303. Prime factorization of 70362 in exponential form is:
70362 = 21 × 33 × 13031
Now multiplying the highest exponent prime factors to calculate the LCM of 70352 and 70362.
LCM(70352,70362) = 24 × 43971 × 33 × 13031
LCM(70352,70362) = 2475053712
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