What is the Least Common Multiple of 74724 and 74735?
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 74724 and 74735 is 5584498140.
LCM(74724,74735) = 5584498140
Least Common Multiple of 74724 and 74735 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74724 and 74735, than apply into the LCM equation.
GCF(74724,74735) = 1
LCM(74724,74735) = ( 74724 × 74735) / 1
LCM(74724,74735) = 5584498140 / 1
LCM(74724,74735) = 5584498140
Least Common Multiple (LCM) of 74724 and 74735 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 74724 and 74735. First we will calculate the prime factors of 74724 and 74735.
Prime Factorization of 74724
Prime factors of 74724 are 2, 3, 13, 479. Prime factorization of 74724 in exponential form is:
74724 = 22 × 31 × 131 × 4791
Prime Factorization of 74735
Prime factors of 74735 are 5, 14947. Prime factorization of 74735 in exponential form is:
74735 = 51 × 149471
Now multiplying the highest exponent prime factors to calculate the LCM of 74724 and 74735.
LCM(74724,74735) = 22 × 31 × 131 × 4791 × 51 × 149471
LCM(74724,74735) = 5584498140
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