What is the Least Common Multiple of 70907 and 70925?
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 70907 and 70925 is 5029078975.
LCM(70907,70925) = 5029078975
Least Common Multiple of 70907 and 70925 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70907 and 70925, than apply into the LCM equation.
GCF(70907,70925) = 1
LCM(70907,70925) = ( 70907 × 70925) / 1
LCM(70907,70925) = 5029078975 / 1
LCM(70907,70925) = 5029078975
Least Common Multiple (LCM) of 70907 and 70925 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 70907 and 70925. First we will calculate the prime factors of 70907 and 70925.
Prime Factorization of 70907
Prime factors of 70907 are 17, 43, 97. Prime factorization of 70907 in exponential form is:
70907 = 171 × 431 × 971
Prime Factorization of 70925
Prime factors of 70925 are 5, 2837. Prime factorization of 70925 in exponential form is:
70925 = 52 × 28371
Now multiplying the highest exponent prime factors to calculate the LCM of 70907 and 70925.
LCM(70907,70925) = 171 × 431 × 971 × 52 × 28371
LCM(70907,70925) = 5029078975
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