What is the Least Common Multiple of 70621 and 70638?
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 70621 and 70638 is 4988526198.
LCM(70621,70638) = 4988526198
Least Common Multiple of 70621 and 70638 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70621 and 70638, than apply into the LCM equation.
GCF(70621,70638) = 1
LCM(70621,70638) = ( 70621 × 70638) / 1
LCM(70621,70638) = 4988526198 / 1
LCM(70621,70638) = 4988526198
Least Common Multiple (LCM) of 70621 and 70638 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 70621 and 70638. First we will calculate the prime factors of 70621 and 70638.
Prime Factorization of 70621
Prime factors of 70621 are 70621. Prime factorization of 70621 in exponential form is:
70621 = 706211
Prime Factorization of 70638
Prime factors of 70638 are 2, 3, 61, 193. Prime factorization of 70638 in exponential form is:
70638 = 21 × 31 × 611 × 1931
Now multiplying the highest exponent prime factors to calculate the LCM of 70621 and 70638.
LCM(70621,70638) = 706211 × 21 × 31 × 611 × 1931
LCM(70621,70638) = 4988526198
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