What is the Least Common Multiple of 68620 and 68628?
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 68620 and 68628 is 1177313340.
LCM(68620,68628) = 1177313340
Least Common Multiple of 68620 and 68628 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68620 and 68628, than apply into the LCM equation.
GCF(68620,68628) = 4
LCM(68620,68628) = ( 68620 × 68628) / 4
LCM(68620,68628) = 4709253360 / 4
LCM(68620,68628) = 1177313340
Least Common Multiple (LCM) of 68620 and 68628 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 68620 and 68628. First we will calculate the prime factors of 68620 and 68628.
Prime Factorization of 68620
Prime factors of 68620 are 2, 5, 47, 73. Prime factorization of 68620 in exponential form is:
68620 = 22 × 51 × 471 × 731
Prime Factorization of 68628
Prime factors of 68628 are 2, 3, 7, 19, 43. Prime factorization of 68628 in exponential form is:
68628 = 22 × 31 × 71 × 191 × 431
Now multiplying the highest exponent prime factors to calculate the LCM of 68620 and 68628.
LCM(68620,68628) = 22 × 51 × 471 × 731 × 31 × 71 × 191 × 431
LCM(68620,68628) = 1177313340
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