What is the Least Common Multiple of 67602 and 67621?
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 67602 and 67621 is 240595518.
LCM(67602,67621) = 240595518
Least Common Multiple of 67602 and 67621 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67602 and 67621, than apply into the LCM equation.
GCF(67602,67621) = 19
LCM(67602,67621) = ( 67602 × 67621) / 19
LCM(67602,67621) = 4571314842 / 19
LCM(67602,67621) = 240595518
Least Common Multiple (LCM) of 67602 and 67621 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 67602 and 67621. First we will calculate the prime factors of 67602 and 67621.
Prime Factorization of 67602
Prime factors of 67602 are 2, 3, 19, 593. Prime factorization of 67602 in exponential form is:
67602 = 21 × 31 × 191 × 5931
Prime Factorization of 67621
Prime factors of 67621 are 19, 3559. Prime factorization of 67621 in exponential form is:
67621 = 191 × 35591
Now multiplying the highest exponent prime factors to calculate the LCM of 67602 and 67621.
LCM(67602,67621) = 21 × 31 × 191 × 5931 × 35591
LCM(67602,67621) = 240595518
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